To solve the expression ( \frac{4.9}{1} + \frac{1}{6} ), we can simplify it as follows:
- ( \frac{4.9}{1} ) is just 4.9.
- Now we need to add ( 4.9 ) and ( \frac{1}{6} ).
To add these two numbers, we can convert ( 4.9 ) into a fraction:
[
4.9 = \frac{49}{10}
]
Now we can find a common denominator to add the fractions. The common denominator between 10 and 6 is 30.
Convert ( \frac{49}{10} ) to have a denominator of 30:
[
\frac{49}{10} = \frac{49 \times 3}{10 \times 3} = \frac{147}{30}
]
Now convert ( \frac{1}{6} ) to have a denominator of 30:
[
\frac{1}{6} = \frac{1 \times 5}{6 \times 5} = \frac{5}{30}
]
Now we can add the two fractions:
[
\frac{147}{30} + \frac{5}{30} = \frac{147 + 5}{30} = \frac{152}{30}
]
Now simplify ( \frac{152}{30} ) by dividing both the numerator and the denominator by 2:
[
\frac{152 \div 2}{30 \div 2} = \frac{76}{15}
]
Thus, the result of the expression ( \frac{4.9}{1} + \frac{1}{6} ) is ( \frac{76}{15} ) or approximately ( 5.0667 ) when converted to decimal form.
